Important

; A sequence or series is arithmetic if the common difference is the same between every term (constant value)…using addition or subtraction.

; a sequence or series is geometric if the common ratio is the same, but the value of the term increases by a certain percentage between every number… using multiplication or division.

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*sequence is a list of numbers: 2,4,6,8

*series is a running sum of numbers: 2+4+6+8

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Arithmetic formulas…

Geometric formulas…

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*always remember that for arithmetic :

*always remember that for geometric:

 

*always remember that only geometric, converging series have a finite infinite sum.

*always remember that the “…” after a sequence or series, means it continues once forever.

*remember that you can also graph sequences and series…

arithmetic example…

geometric example…